Asked by giggly puffs on Jun 30, 2024

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In a chi-square test of independence, the value of the test statistic was In a chi-square test of independence, the value of the test statistic was   = 9.572, and the critical value at   was 11.1433. Thus, A)  we fail to reject the null hypothesis at B)  we reject the null hypothesis at C)  we don't have enough evidence to accept or reject the null hypothesis at D)  we should decrease the level of significance in order to reject the null hypothesis E)  none of these = 9.572, and the critical value at In a chi-square test of independence, the value of the test statistic was   = 9.572, and the critical value at   was 11.1433. Thus, A)  we fail to reject the null hypothesis at B)  we reject the null hypothesis at C)  we don't have enough evidence to accept or reject the null hypothesis at D)  we should decrease the level of significance in order to reject the null hypothesis E)  none of these was 11.1433. Thus,

A) we fail to reject the null hypothesis at
B) we reject the null hypothesis at
C) we don't have enough evidence to accept or reject the null hypothesis at
D) we should decrease the level of significance in order to reject the null hypothesis
E) none of these

Test Statistic

A value calculated from sample data used to make a decision about a hypothesis in statistical testing.

Null Hypothesis

In statistical hypothesis testing, the hypothesis that there is no effect or no difference, and it serves as the default assumption to test against.

Critical Value

A point on the test distribution that is compared to the test statistic to decide whether to reject the null hypothesis.

  • Gain insight into the essential aspects of chi-square tests, particularly concerning the significance of p-values and critical values.
  • Analyze outcomes from chi-square assessments to formulate significant insights.
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mellissa brownJul 06, 2024
Final Answer :
A
Explanation :
The test statistic (9.572) is less than the critical value (11.1433), so we fail to reject the null hypothesis at the given level of significance.